Triple
T6833012
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Laplace method |
E157382
|
entity |
| Predicate | approximationFormula |
P4447
|
FINISHED |
| Object | ∫_a^b e^{λ f(x)} g(x) dx ≈ e^{λ f(x0)} g(x0) √(2π/(−λ f''(x0))) for large λ |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: ∫_a^b e^{λ f(x)} g(x) dx ≈ e^{λ f(x0)} g(x0) √(2π/(−λ f''(x0))) for large λ | Statement: [Laplace method, approximationFormula, ∫_a^b e^{λ f(x)} g(x) dx ≈ e^{λ f(x0)} g(x0) √(2π/(−λ f''(x0))) for large λ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: approximationFormula
Context triple: [Laplace method, approximationFormula, ∫_a^b e^{λ f(x)} g(x) dx ≈ e^{λ f(x0)} g(x0) √(2π/(−λ f''(x0))) for large λ]
-
A.
approximates
Indicates that one entity is close to, but not exactly equal to, the value, form, or behavior of another entity.
-
B.
approximationType
chosen
Indicates the specific method or scheme used to approximate a value, function, or relationship in a given context.
-
C.
approximationFamily
Indicates a relationship where one entity serves as an approximation or approximate representation of another within a defined family or set of approximations.
-
D.
formulaUsed
Indicates that a particular formula is employed or applied in performing a calculation, derivation, or reasoning step.
-
E.
inceptionApproximation
Indicates an approximate or estimated starting point or origin of something, rather than an exact inception time.
- F. None of above.
Provenance (3 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69c6882c53608190b99aebef079b23bd |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d62b1e8c8190a81d91191a54b073 |
completed | March 27, 2026, 7:10 p.m. |
| PD | Predicate disambiguation | batch_69c6d09d95f0819091ca7f897dc21efe |
completed | March 27, 2026, 6:46 p.m. |
Created at: March 27, 2026, 2:18 p.m.